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Finding the Third Proportional to 183,723 and 263,281

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Solution

The third proportional to 183,723 and 263,281 is: 377,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,723 : 263,281 = 263,281 : x
  2. Step 2: Convert to fraction form
    183,723/263,281 = 263,281/x
  3. Step 3: Cross multiply
    183,723x = 263,281 × 263,281
  4. Step 4: Simplify right side
    183,723x = 69,316,884,961
  5. Step 5: Solve for x
    x = 69,316,884,961/183,723
  6. Step 6: Final answer
    x = 377,290.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.